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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/078/03/0335-0346

    • Keywords

       

      Fisher’s equation; compact finite difference; Taylor expansion series; total variation diminishing Runge–Kutta; numerical solutions.

    • Abstract

       

      In this study, we present a new and very accurate numerical method to approximate the Fisher’s-type equations. Firstly, the spatial derivative in the proposed equation is approximated by a sixth-order compact finite difference (CFD6) scheme. Secondly, we solve the obtained system of differential equations using a third-order total variation diminishing Runge–Kutta (TVD-RK3) scheme. Numerical examples are given to illustrate the efficiency of the proposed method.

    • Author Affiliations

       

      Mehdi Bastani1 Davod Khojasteh Salkuyeh2

      1. Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran
      2. Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran

    • Dates

       
      Published
      March 2012

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